[go: up one dir, main page]

Search a number
-
+
45351104 = 261773571
BaseRepresentation
bin1010110100000…
…0000011000000
310011100002000112
42231000003000
543102213404
64300010452
71060322651
oct255000300
9104302015
1045351104
1123665a57
1213230a28
13951b396
146047528
153eac56e
hex2b400c0

45351104 has 56 divisors (see below), whose sum is σ = 96761808. Its totient is φ = 21012480.

The previous prime is 45351091. The next prime is 45351127. The reversal of 45351104 is 40115354.

It is a self number, because there is not a number n which added to its sum of digits gives 45351104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79139 + ... + 79709.

Almost surely, 245351104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48380904).

45351104 is an abundant number, since it is smaller than the sum of its proper divisors (51410704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45351104 is a wasteful number, since it uses less digits than its factorization.

45351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 45351104 is about 6734.3228315845. The cubic root of 45351104 is about 356.6120012104.

Adding to 45351104 its reverse (40115354), we get a palindrome (85466458).

The spelling of 45351104 in words is "forty-five million, three hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 292 544 571 584 1088 1142 1168 1241 2284 2336 2482 4568 4672 4964 9136 9707 9928 18272 19414 19856 36544 38828 39712 41683 77656 79424 83366 155312 166732 310624 333464 621248 666928 708611 1333856 1417222 2667712 2834444 5668888 11337776 22675552 45351104